Question

Evaluation of $\prod\limits_{n=1}^\infty(ne^{-n}+1)$

score 312 · Answer 1 · 2026-05-15 05:30:54

312

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Evaluation of $\prod\limits_{n=1}^\infty(ne^{-n}+1)$

Published on 15 May 2026 - 5:30

score 219 · Answer 2 · 2026-04-14 10:36:38

219

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A new infinite series for the minimum of the Gamma function?

Published on 14 Apr 2026 - 10:36

score 81 · Answer 3 · 2026-04-16 13:18:32

81

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Closed form for $\Gamma(n+\frac{2}{3})$

Published on 16 Apr 2026 - 13:18

score 93 · Answer 4 · 2026-04-15 06:09:58

93

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An evaluation of $\int_{-\infty}^\infty \int_{-\infty}^\infty \ln\left(\frac{\text{sech}(x+yi)}{x+yi}-1\right)dxdy$

Published on 15 Apr 2026 - 6:09

score 119 · Answer 5 · 2026-04-11 21:22:14

119

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Problem with Desmos and almost rational number

Published on 11 Apr 2026 - 21:22

score 61 · Answer 6 · 2026-04-12 22:14:52

61

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Alternative Initial Conditions and Particular Solutions

Published on 12 Apr 2026 - 22:14

score 18 · Answer 7 · 2026-04-13 21:03:28

18

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find constant in upper bound of exponential squence

Published on 13 Apr 2026 - 21:03

score 155 · Answer 8 · 2026-04-14 18:15:06

155

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Convergence value of the unique positive real root of ${^{m + 1}x} = {^{m}x} + 1$ as $m$ approaches infinity

Published on 14 Apr 2026 - 18:15

score 51 · Answer 9 · 2026-04-14 10:32:00

51

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Solve log equation

Published on 14 Apr 2026 - 10:32

score 155 · Answer 10 · 2026-04-15 10:45:25

155

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How to prove $\lim\limits_{x \to \infty} \frac{\pi\sqrt{x}}{\sin{(\frac{\pi}{\sqrt{x}} })} - x = \frac{\pi^2}{6}$?

Published on 15 Apr 2026 - 10:45

score 51 · Answer 11 · 2026-04-16 23:18:06

51

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Prove or (dis)prove that : $f\left(x\right)+f\left(\phi\right)<0$

Published on 16 Apr 2026 - 23:18

score 146 · Answer 12 · 2026-04-17 01:08:16

146

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Are $\cosh(1), \sinh(1), $ and $e^{1/r}-1 $ the only known constants with regular Engel expansions?

Published on 17 Apr 2026 - 1:08

score 51 · Answer 13 · 2026-04-10 06:26:46

51

Views

Show an integral inequality involving the golden ratio, $\zeta(2)$ and the gamma function.

Published on 10 Apr 2026 - 6:26

score 1.6k · Answer 14 · 2026-04-17 01:14:30

1.6k

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Conjecture: $\lim\limits_{x\to 0}(x!\,x!!\,x!!!\,x!!!!\cdots )^{-1/x}\stackrel?=e$

Published on 17 Apr 2026 - 1:14

score 137 · Answer 15 · 2026-04-16 14:45:10

137

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What is the limit $\lim_{x\to 0}\left(\frac{x!x!!!x!!!!!...}{x!!x!!!!x!!!!!!...}\right)^{-\frac{1}{x}}=^?$

Published on 16 Apr 2026 - 14:45

List Question

Evaluation of $\prod\limits_{n=1}^\infty(ne^{-n}+1)$

A new infinite series for the minimum of the Gamma function?

Closed form for $\Gamma(n+\frac{2}{3})$

An evaluation of $\int_{-\infty}^\infty \int_{-\infty}^\infty \ln\left(\frac{\text{sech}(x+yi)}{x+yi}-1\right)dxdy$

Problem with Desmos and almost rational number

Alternative Initial Conditions and Particular Solutions

find constant in upper bound of exponential squence

Convergence value of the unique positive real root of ${^{m + 1}x} = {^{m}x} + 1$ as $m$ approaches infinity

Solve log equation

How to prove $\lim\limits_{x \to \infty} \frac{\pi\sqrt{x}}{\sin{(\frac{\pi}{\sqrt{x}} })} - x = \frac{\pi^2}{6}$?

Prove or (dis)prove that : $f\left(x\right)+f\left(\phi\right)<0$

Are $\cosh(1), \sinh(1), $ and $e^{1/r}-1 $ the only known constants with regular Engel expansions?

Show an integral inequality involving the golden ratio, $\zeta(2)$ and the gamma function.

Conjecture: $\lim\limits_{x\to 0}(x!\,x!!\,x!!!\,x!!!!\cdots )^{-1/x}\stackrel?=e$

What is the limit $\lim_{x\to 0}\left(\frac{x!x!!!x!!!!!...}{x!!x!!!!x!!!!!!...}\right)^{-\frac{1}{x}}=^?$

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